Search a number
-
+
8115270930 = 234513773997
BaseRepresentation
bin1111000111011010…
…10011010100010010
3202221120022110220000
413203231103110102
5113110002132210
63421134230430
7405050444004
oct74355232422
922846273800
108115270930
11349494a188
1216a5955416
139c43a2680
1456db12374
153276b9ac0
hex1e3b53512

8115270930 has 160 divisors (see below), whose sum is σ = 23553606384. Its totient is φ = 1993019904.

The previous prime is 8115270893. The next prime is 8115270953. The reversal of 8115270930 is 390725118.

It can be written as a sum of positive squares in 8 ways, for example, as 1570299129 + 6544971801 = 39627^2 + 80901^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8139192 + ... + 8140188.

Almost surely, 28115270930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8115270930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11776803192).

8115270930 is an abundant number, since it is smaller than the sum of its proper divisors (15438335454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8115270930 is a wasteful number, since it uses less digits than its factorization.

8115270930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 8115270930 is about 90084.7985511429. The cubic root of 8115270930 is about 2009.5601398826.

The spelling of 8115270930 in words is "eight billion, one hundred fifteen million, two hundred seventy thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 773 810 997 1053 1170 1546 1755 1994 2106 2319 2991 3510 3865 4638 4985 5265 5982 6957 7730 8973 9970 10049 10530 11595 12961 13914 14955 17946 20098 20871 23190 25922 26919 29910 30147 34785 38883 41742 44865 50245 53838 60294 62613 64805 69570 77766 80757 89730 90441 100490 104355 116649 125226 129610 134595 150735 161514 180882 194415 208710 233298 269190 271323 301470 313065 349947 388830 403785 452205 542646 583245 626130 699894 770681 807570 813969 904410 1049841 1166490 1356615 1541362 1627938 1749735 2099682 2312043 2713230 3499470 3853405 4069845 4624086 5249205 6936129 7706810 8139690 10018853 10498410 11560215 13872258 20037706 20808387 23120430 30056559 34680645 41616774 50094265 60113118 62425161 69361290 90169677 100188530 104041935 124850322 150282795 180339354 208083870 270509031 300565590 312125805 450848385 541018062 624251610 811527093 901696770 1352545155 1623054186 2705090310 4057635465 8115270930